6 citations · 10 across the 3 of their papers we have counts for
4 papers
A global pinching theorem of complete -hypersurfaces
Shiho Ogata
In this paper, the pinching problems of complete -hypersurfaces in a Euclidean space are studied. By making use of the Sobolev inequality, we prove a global pi…
2-dimensional complete self-shrinkers in
Qing-Ming Cheng, Shiho Ogata
It is our purpose to study complete self-shrinkers in Euclidean space. First of all, we show some examples of complete self-shrinkers without polynomial volume growth. By making us…
Rigidity theorems of -hypersurfaces
Qing-Ming Cheng, Shiho Ogata, Guoxin Wei
Since -dimensional -hypersurfaces in the Euclidean space are critical points of the weighted area functional for the weighted volume-preserving variations…
Toric varieties - degenerations and fundamental groups
M. Amram, S. Ogata
In this paper we calculate fundamental groups (and some of their quotients) of complements of four toric varieties branch curves. For these calculations, we study properties and de…